Finite-blocklength channel coding rate under a long-term power constraint
This paper investigates the maximal channel coding rate achievable at a given blocklength n and error probability ε, when the codewords are subject to a long-term (i.e., averaged-over-all-codeword) power constraint. The second-order term in the large-n expansion of the maximal channel coding rate is...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Institute of Electrical and Electronics Engineers (IEEE)
2016
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| Online Access: | http://hdl.handle.net/1721.1/101008 https://orcid.org/0000-0002-2109-0979 |
| _version_ | 1811073546380640256 |
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| author | Yang, Wei Caire, Giuseppe Durisi, Giuseppe Polyanskiy, Yury |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Yang, Wei Caire, Giuseppe Durisi, Giuseppe Polyanskiy, Yury |
| author_sort | Yang, Wei |
| collection | MIT |
| description | This paper investigates the maximal channel coding rate achievable at a given blocklength n and error probability ε, when the codewords are subject to a long-term (i.e., averaged-over-all-codeword) power constraint. The second-order term in the large-n expansion of the maximal channel coding rate is characterized both for AWGN channels and for quasi-static fading channels with perfect channel state information at the transmitter and the receiver. It is shown that in both cases the second-order term is proportional to √(log n)/n. |
| first_indexed | 2024-09-23T09:34:41Z |
| format | Article |
| id | mit-1721.1/101008 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:34:41Z |
| publishDate | 2016 |
| publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| record_format | dspace |
| spelling | mit-1721.1/1010082022-09-26T12:24:47Z Finite-blocklength channel coding rate under a long-term power constraint Yang, Wei Caire, Giuseppe Durisi, Giuseppe Polyanskiy, Yury Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Polyanskiy, Yury This paper investigates the maximal channel coding rate achievable at a given blocklength n and error probability ε, when the codewords are subject to a long-term (i.e., averaged-over-all-codeword) power constraint. The second-order term in the large-n expansion of the maximal channel coding rate is characterized both for AWGN channels and for quasi-static fading channels with perfect channel state information at the transmitter and the receiver. It is shown that in both cases the second-order term is proportional to √(log n)/n. National Science Foundation (U.S.) (CAREER Award Grant CCF-12-53205) 2016-01-27T18:08:32Z 2016-01-27T18:08:32Z 2014-06 Article http://purl.org/eprint/type/ConferencePaper 978-1-4799-5186-4 http://hdl.handle.net/1721.1/101008 Yang, Wei, Giuseppe Caire, Giuseppe Durisi, and Yury Polyanskiy. “Finite-Blocklength Channel Coding Rate Under a Long-Term Power Constraint.” 2014 IEEE International Symposium on Information Theory (June 2014). https://orcid.org/0000-0002-2109-0979 en_US http://dx.doi.org/10.1109/ISIT.2014.6875197 Proceedings of the 2014 IEEE International Symposium on Information Theory Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) MIT web domain |
| spellingShingle | Yang, Wei Caire, Giuseppe Durisi, Giuseppe Polyanskiy, Yury Finite-blocklength channel coding rate under a long-term power constraint |
| title | Finite-blocklength channel coding rate under a long-term power constraint |
| title_full | Finite-blocklength channel coding rate under a long-term power constraint |
| title_fullStr | Finite-blocklength channel coding rate under a long-term power constraint |
| title_full_unstemmed | Finite-blocklength channel coding rate under a long-term power constraint |
| title_short | Finite-blocklength channel coding rate under a long-term power constraint |
| title_sort | finite blocklength channel coding rate under a long term power constraint |
| url | http://hdl.handle.net/1721.1/101008 https://orcid.org/0000-0002-2109-0979 |
| work_keys_str_mv | AT yangwei finiteblocklengthchannelcodingrateunderalongtermpowerconstraint AT cairegiuseppe finiteblocklengthchannelcodingrateunderalongtermpowerconstraint AT durisigiuseppe finiteblocklengthchannelcodingrateunderalongtermpowerconstraint AT polyanskiyyury finiteblocklengthchannelcodingrateunderalongtermpowerconstraint |